gurghet
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### Questions (5)

 3 What is the smallest number which begins with 7 and if you bring the 7 to the least significant position it becomes a third of the original number? 2 How to prove that if $a\equiv b \pmod{2n}$ then $a^2\equiv b^2 \pmod{2^2n}$ 2 How to go from Fermat’s little theorem to Euler’s theorem thought Ivory’s demonstration? 1 Completion of the squares (actually of the quadratic forms) 1 Completing the squares for matrices

### Reputation (154)

 +5 Completing the squares for matrices +15 What is the smallest number which begins with 7 and if you bring the 7 to the least significant position it becomes a third of the original number? +5 How to prove that if $a\equiv b \pmod{2n}$ then $a^2\equiv b^2 \pmod{2^2n}$ +5 How to go from Fermat’s little theorem to Euler’s theorem thought Ivory’s demonstration?

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### Tags (7)

 0 number-theory × 2 0 linear-algebra 0 quadratic-forms 0 matrices 0 recreational-mathematics 0 modular-arithmetic 0 elementary-number-theory

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